Discontinuous Galerkin immersed finite volume element method for anisotropic flow models in porous medium
Summary: By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve numerically a kind of anisotropic diffusion models governed by the elliptic interface problems with discontinuous tensor-conductivity. The existence and uniqueness of the discrete scheme are proved, and an optimal-order energy-norm estimate and \(L^2\)-norm estimate for the numerical solution are derived.
scientific article; zbMATH DE number 7022544
scientific article